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Finding the Fourth Proportional to 82,055.70, 113,193.45 and 56,518.13

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Solution

The fourth proportional to 82,055.70, 113,193.45 and 56,518.13 is: 77,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,055.70 : 113,193.45 = 56,518.13 : x
  2. Step 2: Convert to fraction form
    82,055.70/113,193.45 = 56,518.13/x
  3. Step 3: Cross multiply
    82,055.70x = 113,193.45 × 56,518.13
  4. Step 4: Simplify right side
    82,055.70x = 6,397,482,405.23
  5. Step 5: Solve for x
    x = 6,397,482,405.23/82,055.70
  6. Step 6: Final answer
    x = 77,965.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.